Which shows the distributive property

The distributive property essential property in math used while adding, subtracting, multiplying, and dividing large numbers. By grouping the numbers we can create smaller parts irrespective of the order to solve the bigger equations.

It makes calculations easier and faster. Learn Practice Download. Distributive Property The distributive property is also known as the distributive law of multiplication over addition and subtraction.

What Is Distributive Property? Distributive Property of Multiplication Over Addition 3. Distributive Property of Multiplication Over Subtraction 4. Verification of Distributive Property 5.

Great learning in high school using simple cues. Indulging in rote learning, you are likely to forget concepts. With Cuemath, you will learn visually and be surprised by the outcomes. Practice Questions on Distributive Property. Explore math program. Explore coding program.

Then simplify the result. In the original expression, the 8 and the 4 are grouped in parentheses. Using arrows, you can see how the 5 is distributed to each addend. The 8 and 4 are each multiplied by 5. The resulting products are added together, resulting in a sum of This would be doubling your original value. To distribute the 30, multiply the 2 by 30 and the 4 by The number 30 is distributed to both the 2 and the 4, so that both 2 and 4 are multiplied by The number 30 is not distributed in this answer.

The digits 2 and 4 should not be combined to form 24 because the addition process is incorrect. Distributive Property of Multiplication over Subtraction. The distributive property of multiplication over subtraction is like the distributive property of multiplication over addition.

You can subtract the numbers and then multiply, or you can multiply and then subtract as shown below. The same number works if the 5 is on the other side of the parentheses, as in the example below. In both cases, you can then simplify the distributed expression to arrive at your answer.

The example below, in which 5 is the outside multiplier, demonstrates that this is true. The expression on the right, which is simplified using the distributive property, is shown to be equal to 15, which is the resulting value on the left as well. Rewrite the expression 20 9 — 2 using the distributive property of multiplication over subtraction. Then simplify. In the original expression, the 9 and the 2 are grouped in parentheses.

With questions like the one above, students will master the distributive property in no time at all enjoy our variety of guides and worksheets.. Liam has diverse taste in music. There are six times as many metal songs as there are pop songs, and 11 times as many country songs as there are pop songs. If x represents the number of pop songs, what is the total number of songs Liam has on his phone? Write an expression. To get the number of metal songs, multiply the number of pop songs by five — 5x.

To get the number of country songs, multiply the number of pop songs by 11 — 11x. Since you know x is the number of pop songs, you can write the expression as:. Visual or hands-on manipulatives help students make sense of math and concretize abstract concepts.

Use objects, pictures, numbers — anything! Check out the example below on Indulgy :. By breaking down expressions into bite-sized pieces, students can tackle larger and more challenging math problems.

By incorporating EdTech resources, arrays, or math word problems, students should see the hands-on, practical applications of the distributive property. Did one example work more effectively to engage students and deepen their understanding? There's only one way to find out — give them a try! Contents Definition of distributive property Distributive property of addition Distributive property of subtraction Distributive property of variables Distributive property of exponents Distributive property of fractions Engaging ways to teach distributive property.

Using the distributive law, we: Multiply, or distribute, the outer term to the inner terms. Combine like terms. Solve the equation. Distributive property with variables Remember what we said about algebraic expressions and variables? Using the distributive law with variables involved, we can isolate x : Multiply, or distribute, the outer term to the inner terms.

Arrange terms so constants and variables are on opposite sides of the equals sign. Solve the equation and simplify, if needed.